Question

Write an equation in slope intercept form for the linear equation f(-4) = 2 and f(6) = -3

Answer 1

Answer: y= -2.5x+12

Explanation:

Skills used:

1. Finding slope from two points
2. Finding y-intercept from two points or a slope
3. Writing equations in slope-intercept form

Steps:

1. Write out the two equations as points: (-4, 2) and (6, -3)
2. Find the slope by using the equation:
   `(y_2-y_1)/(x_2-x_1)`, which gives us -5/2, or -2.5 (I'm going to use decimals)
3. Write it into slope intercept form: y= -2.5x+b
4. Substitute a point into y and x: 2= -2.5(4)+b
5. Solve to get b= 12
6. Put it into the full equation: y=-2.5x+12